A118862 Start with 1 and repeatedly place the first digit at the end of the number and add 15.

1, 16, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82, 43, 49, 109, 106, 76, 82

Offset

1,2

Comments

After 2 steps the sequence enters a cycle of length 6.

Links

Table of n, a(n) for n=1..64.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

Formula

a(n) = a(n-6) for n>8. - Colin Barker, Oct 02 2014

G.f.: -x*(90*x^7+108*x^6+49*x^5+43*x^4+82*x^3+76*x^2+16*x+1) / ((x-1)*(x+1)*(x^2-x+1)*(x^2+x+1)). - Colin Barker, Oct 02 2014

Mathematica

NestList[FromDigits[RotateLeft[IntegerDigits[#]]]+15&, 1, 70] (* or *) PadRight[ {1, 16}, 70, {109, 106, 76, 82, 43, 49}] (* Harvey P. Dale, Sep 20 2014 *)

Prog

(PARI) Vec((90*x^7+108*x^6+49*x^5+43*x^4+82*x^3+76*x^2+16*x+1)/(-x^6+1) + O(x^100)) \\ Colin Barker, Oct 02 2014

Crossrefs

Sequence in context: A244835 A189949 A103111 * A118532 A253691 A300919

Adjacent sequences: A118859 A118860 A118861 * A118863 A118864 A118865

Keyword

base,nonn,easy

Author

Luc Stevens (lms022(AT)yahoo.com), May 24 2006

Status

approved